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  5. Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.47 (2015)
  6. A Note on plane rational curves and the associated Poncelet Surfaces
 
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A Note on plane rational curves and the associated Poncelet Surfaces

Bernardi, Alessandra
•
Gimigliano, Alessandro
•
Idà, Monica
2015
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ISSN
0049-4704
DOI
10.13137/0049-4704/11219
http://hdl.handle.net/10077/11219
  • Article

e-ISSN
2464-8728
Abstract
We consider the parametrization (f0, f1, f2) of plane rational curve c, and we want to relate the splitting type of C (i.e. the second Betti numbers of the ideal (f0, f1, f2) with the singularities of the associated Poncelet surface in p3. We are able of doing this for Ascenzi curves, thus generalizing a result in [8] in the case of plane curves. Moreover we prove that if the Poncelet surface s C p3 is singular then it is associated with a curve C which possesses at least a point of multiplicity >_ 3.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
47 (2015)
Subjects
  • plane rational curves...

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EUT Edizioni Università di Trieste
Languages
en
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RIMUT_47_06_bernardi_gimigliano_ida.pdf

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